Answer:
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Step-by-step explanation:
Consider the provided information,
Let X is the number of defective bulbs.
Ten light bulbs are randomly selected.
The likelihood that a light bulb is defective is 5%.
Therefore sample size is = n = 10
Probability of a defective bulb = p = 0.05.
Therefore, q = 1 - p = 1 - 0.05 = 0.95
Mean of binomial random variable: 
Therefore, 
Variance of binomial random variable: 
Therefore, 
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Answer: 0.3741
Step-by-step explanation:
Poison probability ;
P(x) = [U(^x) e(^-U)] ÷ x!
Where U = mean
Note: e = exponential symbol
Number of checks that year = 171
Number of days in a year = 365
U = 171/365 = 0.468
Average checks per day = 0.4685
Probability that at least one check was written per day is can be calculated by;
P(not 0) = 1 - P(0)
Therefore,
P(x) = [U(^x) e(^-U)] ÷ x!
P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!
P(0) = [ 1 * 0.6259] ÷ 1
P(0) = 0.6259
Therefore,
P(not 0) = 1 - 0.6259 = 0.3741
Answer:
AE
Step-by-step explanation:
pls make me brainliest
Answer:
length ≈ 0.599 feet
Step-by-step explanation:
volume = length³
0.215ft³ = length³
cube root both sides to isolate the length
∛(0.215ft³) = length
length ≈ 0.599 feet
Answer:
The repeating decimal cost
a) As a fraction = $
b) As a mixed number = $ 
Step-by-step explanation:
The cost of making a computer component
= $3.161616
= $ 3 + 0.161616
Looking at the repeating decimal it is in 6 decimal places, hence to convert it to a fraction,
0.161616/ 1000000 × 1000000
= 161616/1000000
Therefore, the cost of making the computer component =
$3 + $161616/1000000
Step 1
We convert to a fraction
$3 + $161616/1000000
We find the LCM = 1000000
($3 × 1000000)+ ($161616× 1)/1000000
3000000 + 161616/1000000
= $ (3161616/1000000)
As a Mixed number =
